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IMA Journal of Applied Mathematics 2003 68(2):167-184; doi:10.1093/imamat/68.2.167
© 2003 by Institute of Mathematics and its Applications
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Absorbing boundary conditions for reaction–diffusion equations

Jérémie Szeftel1

1 LAGA UMR 7539, Institut Galilée, Université Paris 13, 99, avenue J. B. Clément, 93430 Villetaneuse, France

We treat here of the question of absorbing boundary conditions for nonlinear diffusion equations. We use the conditions designed for the linear equation, we prove them to be well posed for the nonlinear problem, and through numerical experiments that they are well suited for reaction–diffusion equations.

Keywords: absorbing boundary conditions; finite elements; Galerkin method; reaction–diffusion equations; existence of uniqueness result.

Received 31 January 2002.


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